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Solve x/2 + 3x/(x+) = 1

(x/2) + 3x/(x+1) = 1x(x+1) + 6x = 2x + 2x 2 + x + 6x - 2x = 2x 2 + 5x - 2 = 0 Using the quadratic formula, x 1 = (-5+(29) 1/2 )/2x 2 = (-5-(29) 1/2 )/2
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Answered by Emily D. • Maths tutor
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Show that a parallelogram is composed of an isosceles trapezium and an isosceles triangle

Draw a parallelogram composed of a trapezium and a traingle.Label:obtuse trapezium anlges as aacute trapezium angles as bbase triangular angles as ctop triangular angle as d By definition of a parallelogram,...
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Answered by Emily D. • Maths tutor
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Show that 0.81 reocurring = 9/11

Let x = 0.8181818181... 100x = 81.81818181...100x - x = 81.81818181... - 0.8181818181(100 - 1)x = 8199x = 81x = 81/99x = 9/11
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Answered by Emily D. • Maths tutor
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The rectangles A and B have perimeters of 94cm and 56cm as shown below (insert diagram). Rectangle A: base = 2x cm, height = 3y cm. Rectangle B: base = (x+6)cm, height = (y+4)cm. Use an algebraic method to calculate the area of each rectangle. (8 marks)

Formulas needed: Perimeter of rectangle = 2*(base + height) Area of rectangle = base * height. Using the information given we need to define the perimeter of A and B algebraically. Rectangle A: base = 2x, he...
UQ
Answered by Umar Q. • Maths tutor
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Differentiate y = (x^2 + 1)^1/3

Use the chain rule to do this. First set u= x^2 + 1. We chose u to be this because u 1/3 is much simpler to differentiate. Then find du/dx = 2x. Now find dy/du = 1/3 * u -2/3 = 1/3 * (x 2 +1) -2/3 . Now by t...
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Answered by Will W. • Maths tutor
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